Larger of two numbers is nine less than four times the smaller number if the sum of two numbers is 76 find both numbers

x + y = 76

x = 4y - 9

4y - 9 + y = 76

5y = 65

y = 13

13 + x = 76

x = 63

17 and 59

Step-by-step explanation:

Given: Larger of two numbers is nine less than four times the smaller number. The sum of two numbers is 76.

To find: Both the numbers

Solution:

Let the smaller number be x and the larger number be y.

It is given that the sum of the numbers is 76.

So,

Also, the larger number is 9 less than 4 times the smaller number. So, we have

On substituting in we get

So, the smaller number is 17  

larger number is

Hence, the smaller number is 17 and the larger number is 59.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9

$3,200 x 7.25% = $3,200 x .0725 = $232 interest monthly

$232 monthly x 12 annual = $2, 784

step-by-step explanation: